Definition This unique figure is a quadrilateral with a single angle measuring greater than 180
This quadrilateral is unique for the following reasons:
- It is a concave figure with an angle measuring greater than 180
- The diagonals form outside the figure
- Only two triangles can be formed inside the figure
Properties
Side Properties 1. 2 consecutive pairs of sides are congruent
*The consecutive side pairs refer to the top side pairs and bottom pairs in this orientation of the New Quadrilateral
Angle Properties 1. The base angles are congruent
*The base angles refer to the measured angles below (Angle DAB & Angle DCB)
2. Sum of the base angles is congruent to the measure of the top angle
*Top angle in this orientation of New Quadrilateral Angle DAB + Angle DCB = Angle ADC
36.66 + 36.66 = 73.32
36.66(2) = 73.32
Triangle Properties 1. Opposite triangles are congruent Example Proof
Prove: Triangle ADB is congruent to Triangle CDB
This unique figure is a quadrilateral with a single angle measuring greater than 180
This quadrilateral is unique for the following reasons:
- It is a concave figure with an angle measuring greater than 180
- The diagonals form outside the figure
- Only two triangles can be formed inside the figure
Properties
Side Properties
1. 2 consecutive pairs of sides are congruent
*The consecutive side pairs refer to the top side pairs and bottom pairs in this orientation of the New Quadrilateral
Angle Properties
1. The base angles are congruent
*The base angles refer to the measured angles below (Angle DAB & Angle DCB)
2. Sum of the base angles is congruent to the measure of the top angle
*Top angle in this orientation of New Quadrilateral
Angle DAB + Angle DCB = Angle ADC
36.66 + 36.66 = 73.32
36.66(2) = 73.32
Triangle Properties
1. Opposite triangles are congruent
Example Proof
Prove: Triangle ADB is congruent to Triangle CDB